Truth is there are wealthy Asians who hold racist views and use their position of power to oppress non-Asians (black, white, latino, and most groups oppress Native Americans). Seeing as Asians (particularly those from China, Japan, South Korea, and India) have assimilated and have reached similar (or better) wealth and success as other ethnicities originally not considered white (such as Irish and Italian), I would consider them to not be racially underprivileged (and light skinned East Asians could easily be considered to have white privilege). Therefore, it would be logical to consider wealthy, light-skinned Asians who act on racist views as being racist.
My family members arrived in the US during periods of time when they were oppressed. Irish, Italian, German-speaking Swiss, and Mexican. When they came to the USA, they did NOT have white privilege.